Temporal Fresnel diffraction induced by phase jumps in linear and nonlinear optical fibres

Anastasiia Sheveleva (1) , Christophe Finot (1)

1 ICB - Laboratoire Interdisciplinaire Carnot de Bourgogne

We analytically and numerically study the temporal intensity pattern emerging from the linear or nonlinear evolutions of a single or double phase jump in an optical fiber. The results are interpreted in terms of interferences of the well-known diffractive patterns of a straight edge, strip and slit and a complete analytical framework is provided in terms of Fresnel integrals for the case of purely dispersive evolution. When Kerr nonlinearity affects the propagation, various coherent nonlinear structures emerge according to the regime of dispersion.

Mots clés: space/time analogy; dispersion; nonlinear fiber optics; Fresnel diffraction

Domaines: Optique [physics.optics]

Anastasiia Sheveleva, Christophe Finot. Temporal Fresnel diffraction induced by phase jumps in linear and nonlinear optical fibres. Results in Physics, 2020, 19, pp.103344. ⟨10.1016/j.rinp.2020.103344⟩. ⟨hal-02889474v2⟩